Wells signed to the Patriots' practice squad Tuesday, Mike Reiss of ESPN.com reports.
The 25-year-old went undrafted out of San Diego State in 2018 and spent time in camp with the Chiefs last year, but he has yet to see NFL action. Wells provides some potential depth at tight end with Dalton Keene (knee) and Devin Asiasi (undisclosed) both landing on injured reserve this month.